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Finding the Fourth Proportional to 539.42, 808.95 and 231.19

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Solution

The fourth proportional to 539.42, 808.95 and 231.19 is: 346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.42 : 808.95 = 231.19 : x
  2. Step 2: Convert to fraction form
    539.42/808.95 = 231.19/x
  3. Step 3: Cross multiply
    539.42x = 808.95 × 231.19
  4. Step 4: Simplify right side
    539.42x = 187,017.11
  5. Step 5: Solve for x
    x = 187,017.11/539.42
  6. Step 6: Final answer
    x = 346.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.